Product rule for counting
Multiply the number of independent choices at each stage.
- Count the choices at each stage.
- Multiply when every choice at one stage can be paired with every choice at the next.
Example 1
An outfit uses one of 2 shirts, one of 3 pairs of trousers and one of 2 pairs of shoes. How many outfits are possible?
Example 2
An outfit uses one of 3 shirts, one of 3 pairs of trousers and one of 3 pairs of shoes. How many outfits are possible?
Your turn
An outfit uses one of 4 shirts, one of 3 pairs of trousers and one of 2 pairs of shoes. How many outfits are possible?
Check answer
An outfit uses one of 5 shirts, one of 3 pairs of trousers and one of 3 pairs of shoes. How many outfits are possible?
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An outfit uses one of 6 shirts, one of 3 pairs of trousers and one of 2 pairs of shoes. How many outfits are possible?
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An outfit uses one of 7 shirts, one of 3 pairs of trousers and one of 3 pairs of shoes. How many outfits are possible?
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An outfit uses one of 8 shirts, one of 3 pairs of trousers and one of 2 pairs of shoes. How many outfits are possible?
Check answer
An outfit uses one of 4 shirts, one of 3 pairs of trousers and one of 2 pairs of shoes. How many outfits are possible?
AnswerAn outfit uses one of 5 shirts, one of 3 pairs of trousers and one of 3 pairs of shoes. How many outfits are possible?
AnswerAn outfit uses one of 6 shirts, one of 3 pairs of trousers and one of 2 pairs of shoes. How many outfits are possible?
AnswerAn outfit uses one of 7 shirts, one of 3 pairs of trousers and one of 3 pairs of shoes. How many outfits are possible?
AnswerAn outfit uses one of 8 shirts, one of 3 pairs of trousers and one of 2 pairs of shoes. How many outfits are possible?
Answer